What is the Greatest Common Factor of 84952 and 84969?

Greatest common factor (GCF) of 84952 and 84969 is 1.

GCF(84952,84969) = 1

We will now calculate the prime factors of 84952 and 84969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84952 and 84969.

How to find the GCF of 84952 and 84969?

We will first find the prime factorization of 84952 and 84969. After we will calculate the factors of 84952 and 84969 and find the biggest common factor number .

Step-1: Prime Factorization of 84952

Prime factors of 84952 are 2, 7, 37, 41. Prime factorization of 84952 in exponential form is:

84952 = 2³ × 7¹ × 37¹ × 41¹

Step-2: Prime Factorization of 84969

Prime factors of 84969 are 3, 1049. Prime factorization of 84969 in exponential form is:

84969 = 3⁴ × 1049¹

Step-3: Factors of 84952

List of positive integer factors of 84952 that divides 84952 without a remainder.

1, 2, 4, 7, 8, 14, 28, 37, 41, 56, 74, 82, 148, 164, 259, 287, 296, 328, 518, 574, 1036, 1148, 1517, 2072, 2296, 3034, 6068, 10619, 12136, 21238, 42476

Step-4: Factors of 84969

List of positive integer factors of 84969 that divides 84952 without a remainder.

1, 3, 9, 27, 81, 1049, 3147, 9441, 28323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84952 and 84969. The biggest common factor number is the GCF number.
So the greatest common factor 84952 and 84969 is 1.

Also check out the Least Common Multiple of 84952 and 84969